3. 13 dr² +9y= 26e2r

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Given:-radius of the pile  is increasing at a rate of 4 ft/daydrdt=4 ft/dayheight of the pile is…

Q: Find L-1 (5² 7². 2s+3 s²+4s+13

A: To find the inverse laplace.L-12s+3s2+4s+13

Q: Find whether the series diverges or converges. Σε 1a α1/2 α=1 +∞

A:

Q: II. Solve the following problems. Enclose final answer. 7.Find of z = 2x³ - 5xy² xy

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: Find an equation for the paraboloid z=x^2+y^2 in spherical coordinates

A:

Q: 3) x² + y² + 16x+10y+80= 0 2 CXA6 2 5) x² + y² - 22x+26y +254 = 0

A: Here we have to find the standard form.

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

A:

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A: Concept: Area of the base of the trapezoid =12(sum of its opposite sides)×height We know that the…

Q: Use the guidelines to sketch the graph of the function. f(x)==-₁

A:

Q: a. Find the critical numbers of f on the given interval b. Determine the absolute extreme values of…

A:

Q: Applications

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Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: y = (x²+1)4 (2x + 1)² (3x − 1)5

A: We have to find derivative

Q: (McQuarrie F-7) Find the three roots of the determinantal equation, 1-A 1 0 1 1-A 1 0 1 1 - A

A:

Q: 3~5 3 31 ㄱ 2 2 7) 51-³

A:

Q: {4x + 5y = -3 IS: 5x+4y=3} x=-3 and y=3 A O x=3 and y=-3 .BO x = -3 and y=-3.00 x=3 and y=3 DO Solve…

A:

Q: Y Calculate y'. Simplify your solution. (x² + 1)² (2x + 1)² (3x − 1)5

A:

Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: 2. f(x, y, z) = exyz² Find fxyz

A:

Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

A:

Q: = (x² + y² + z²) −½, then + + 8²v მ2u 8² 8x² მ2 82² If v=

A: v=x2+y2+z2-12 Now,  ∂v∂x=∂x2+y2+z2-12∂x       =∂x2+y2+z2-12∂x2+y2+z2×∂x2+y2+z2∂x…

Q: 32 Remove parentheses and simplify: [4(x + 3) - 4x] -4(x + 3) 4x A O -2x BO 2co -4x-Da

A: Let's simplify.

Q: [ * ² {( x=-62² ) + x ² (2 X-67 ° S - XP(x - 5] [9_xP ( _ex-b^) -b). E [+5₁ dx=6₂ 3 My = 3dx = 1/2/2

A:

Q: Numerical Integration: S 0 7. =dx X

A: We want to find value of integral.

Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

A:

Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: In Problems 1 to 4, find the general solutions of the given differential equations. 1. d²y dy dx² -…

A:

Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

A:

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

A:

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: DSX 2 X sec /x dx 3

A:

Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

A:

Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

A:

Q: 4. Given z = x-y, Find az/ax x+y

A: Given z=x-yx+y

Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

A:

Q: 5. Lim xsinx x+0+

A: Consider F=limx-&gt;0+xsin x Taking logarithm on both sides

Q: Find the integral dx √=x² + 6x I

A: We know that ∫dxa2-x2 = sin-1xa+C

Q: 10x-2p-3x-1p

A:

Q: 4 = Suppose sin 0 = and is in quadrant IV 5 Find the exact values of the other five trigonometric…

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

A:

Q: Consider the following graph. 1 1 X

A:

Q: y = 3sin (40 +

A: Given query is to find the phase shift.

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: 2. Continuity. Find all points where the function is discontinuous and identify which condition(s)…

A:

Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

A: